| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
We presented a number-theoretic characterization of the configuration of points of a minimal cubature formula, as well as some existence and non-existence results on such formulas of small degrees, by unifying techniques that have been developed in numerical analysis, algebraic combinatorics, discrete geometry and so on. We also characterize a minimal cubature formula whose point set consists of orbits of a finite irreducible reflection group.
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